The minimum deviation produced by a hollow prism filled with a certain liquid is found to be `30^(@)`. The light ray is also found to be refracted at angle of `30^(@)`. The refractive index of the liquid is

Options

A. `sqrt(2)`
B. `sqrt(3)`
C. `sqrt((3)/(2))`
D. `(3)/(2)`

Answer

A

Explanation

For minimum angle of deviation for a prism
`A=2r, :. A=60^(@)`
Now `mu=(sin((60+30)/(2)))/(sin((60)/(2)))=(sin45^(@))/(sin30^(@))=(1)/(sqrt(2))xx(2)/(1)=sqrt(2)`